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Konferenzbeitrag

A Representation Theorem and Applications

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons44689

Jaeger,  Manfred
Programming Logics, MPI for Informatics, Max Planck Society;

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Zitation

Jaeger, M. (2003). A Representation Theorem and Applications. In Symbolic and Quantitative Approaches to Reasoning with Uncertainty: 7th European Conference, ECSQARU 2003 (pp. 50-61). Berlin, Germany: Springer.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-000F-2C44-7
Zusammenfassung
We introduce a set of transformations on the set of all probability distributions over a finite state space, and show that these transformations are the only ones that preserve certain elementary probabilistic relationships. This result provides a new perspective on a variety of probabilistic inference problems in which invariance considerations play a role. Two particular applications we consider in this paper are the development of an equivariance-based approach to the problem of measure selection, and a new justification for Haldane's prior as the distribution that encodes prior ignorance about the parameter of a multinomial distribution.